{"id":1469,"date":"2019-06-25T12:57:36","date_gmt":"2019-06-25T16:57:36","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=back-matter&p=1469"},"modified":"2019-06-25T14:29:23","modified_gmt":"2019-06-25T18:29:23","slug":"answer-key-6-8","status":"publish","type":"back-matter","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/answer-key-6-8\/","title":{"raw":"Answer Key 6.8","rendered":"Answer Key 6.8"},"content":{"raw":"[latexpage]\r\n
    \r\n \t
  1. \r\n\r\n\r\n\r\n\r\n\r\n\r\n
    Name<\/th>\r\nAmount<\/th>\r\nValue<\/th>\r\nEquation<\/th>\r\n<\/tr>\r\n
    S40<\/sub><\/th>\r\n8000<\/td>\r\n0.40<\/td>\r\n0.40 (8000)<\/td>\r\n<\/tr>\r\n
    W<\/th>\r\n\\(x\\)<\/td>\r\n0<\/td>\r\n0<\/td>\r\n<\/tr>\r\n
    S30<\/sub><\/th>\r\n\\(x+8000\\)<\/td>\r\n0.30<\/td>\r\n\\(0.30(x+8000)\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\\(0.40(8000)=0.30(x+8000)\\)<\/li>\r\n \t
  2. \r\n\r\n\r\n\r\n\r\n\r\n\r\n
    Name<\/th>\r\nAmount<\/th>\r\nValue<\/th>\r\nEquation<\/th>\r\n<\/tr>\r\n
    A100<\/sub><\/th>\r\n\\(x\\)<\/td>\r\n1.00<\/td>\r\n\\(1.00x\\)<\/td>\r\n<\/tr>\r\n
    A30<\/sub><\/th>\r\n5<\/td>\r\n0.30<\/td>\r\n0.30 (5)<\/td>\r\n<\/tr>\r\n
    A50<\/sub><\/th>\r\n\\(x+5\\)<\/td>\r\n0.50<\/td>\r\n\\(0.50(x+5)\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\\(1.00x+0.30(5)=0.50(x+5)\\)<\/li>\r\n \t
  3. \r\n\r\n\r\n\r\n\r\n\r\n\r\n
    Name<\/th>\r\nAmount<\/th>\r\nValue<\/th>\r\nEquation<\/th>\r\n<\/tr>\r\n
    S10<\/sub><\/th>\r\n12<\/td>\r\n0.10<\/td>\r\n0.10 (12)<\/td>\r\n<\/tr>\r\n
    S3<\/sub><\/th>\r\n\\(x\\)<\/td>\r\n0.03<\/td>\r\n\\(0.03 (x)\\)<\/td>\r\n<\/tr>\r\n
    S5<\/sub><\/th>\r\n\\(x+12\\)<\/td>\r\n0.05<\/td>\r\n\\(0.05(x+12)\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\\(0.10(12)+0.03(x)=0.05(x+12)\\)<\/li>\r\n \t
  4. \r\n\r\n\r\n\r\n\r\n\r\n\r\n
    Name<\/th>\r\nAmount<\/th>\r\nValue<\/th>\r\nEquation<\/th>\r\n<\/tr>\r\n
    A100<\/sub><\/th>\r\n\\(x\\)<\/td>\r\n1.00<\/td>\r\n\\(1.00x\\)<\/td>\r\n<\/tr>\r\n
    A14<\/sub><\/th>\r\n24<\/td>\r\n0.14<\/td>\r\n0.14 (24)<\/td>\r\n<\/tr>\r\n
    A20<\/sub><\/th>\r\n\\(x+24\\)<\/td>\r\n0.20<\/td>\r\n\\(0.20(x+24)\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\\(1.00x+0.14(24)=0.20(x+24)\\)<\/li>\r\n \t
  5. \r\n\r\n\r\n\r\n\r\n\r\n\r\n
    Name<\/th>\r\nAmount<\/th>\r\nValue<\/th>\r\nEquation<\/th>\r\n<\/tr>\r\n
    B<\/th>\r\n\\(x\\)<\/td>\r\n1.60<\/td>\r\n\\(1.60x\\)<\/td>\r\n<\/tr>\r\n
    Mag<\/th>\r\n18<\/td>\r\n2.50<\/td>\r\n2.50 (18)<\/td>\r\n<\/tr>\r\n
    Mix<\/th>\r\n\\(x+18\\)<\/td>\r\n1.90<\/td>\r\n\\(1.90(x+18)\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\\(1.60x+2.50(18)=1.90(x+18)\\)<\/li>\r\n \t
  6. \r\n\r\n\r\n\r\n\r\n\r\n\r\n
    Name<\/th>\r\nAmount<\/th>\r\nValue<\/th>\r\nEquation<\/th>\r\n<\/tr>\r\n
    A100<\/sub><\/th>\r\n\\(x\\)<\/td>\r\n1.00<\/td>\r\n\\(1.00x\\)<\/td>\r\n<\/tr>\r\n
    A20<\/sub><\/th>\r\n40<\/td>\r\n0.20<\/td>\r\n0.20 (40)<\/td>\r\n<\/tr>\r\n
    A36<\/sub><\/th>\r\n\\(x+40\\)<\/td>\r\n0.36<\/td>\r\n\\(0.36(x+40)\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\\(x+0.20(40)=0.36(x+40)\\)<\/li>\r\n \t
  7. \r\n\r\n\r\n\r\n\r\n\r\n\r\n
    Name<\/th>\r\nAmount<\/th>\r\nValue<\/th>\r\nEquation<\/th>\r\n<\/tr>\r\n
    O40<\/sub><\/th>\r\n100<\/td>\r\n0.40<\/td>\r\n100 (0.40)<\/td>\r\n<\/tr>\r\n
    O100<\/sub><\/th>\r\n\\(x\\)<\/td>\r\n1.00<\/td>\r\n\\(x(1.00)\\)<\/td>\r\n<\/tr>\r\n
    O50<\/sub><\/th>\r\n\\(100+x\\)<\/td>\r\n0.50<\/td>\r\n\\((100+x)(0.50)\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\\(100(0.40)+x=(100+x)(0.50)\\)<\/li>\r\n \t
  8. \r\n\r\n\r\n\r\n\r\n\r\n\r\n
    Name<\/th>\r\nAmount<\/th>\r\nValue<\/th>\r\nEquation<\/th>\r\n<\/tr>\r\n
    P220<\/sub><\/th>\r\n20<\/td>\r\n220<\/td>\r\n220 (20)<\/td>\r\n<\/tr>\r\n
    P400<\/sub><\/th>\r\n\\(x\\)<\/td>\r\n400<\/td>\r\n\\(400(x)\\)<\/td>\r\n<\/tr>\r\n
    P300<\/sub><\/th>\r\n\\(x+20\\)<\/td>\r\n300<\/td>\r\n\\(300(x+20)\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\\(220(20)+400x=300(x+20)\\)<\/li>\r\n \t
  9. \r\n\r\n\r\n\r\n\r\n\r\n\r\n
    Name<\/th>\r\nAmount<\/th>\r\nValue<\/th>\r\nEquation<\/th>\r\n<\/tr>\r\n
    T4.20<\/sub><\/th>\r\n\\(x\\)<\/td>\r\n4.20<\/td>\r\n\\(4.20(x)\\)<\/td>\r\n<\/tr>\r\n
    T2.25<\/sub><\/th>\r\n12<\/td>\r\n2.25<\/td>\r\n2.25 (12)<\/td>\r\n<\/tr>\r\n
    T3.40<\/sub><\/th>\r\n\\(x+12\\)<\/td>\r\n3.40<\/td>\r\n\\(3.40(x+12)\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\\(4.20x+2.25(12)=3.40(x+12)\\)<\/li>\r\n \t
  10. \r\n\r\n\r\n\r\n\r\n\r\n\r\n
    Name<\/th>\r\nAmount<\/th>\r\nValue<\/th>\r\nEquation<\/th>\r\n<\/tr>\r\n
    S80<\/sub><\/th>\r\n\\(x\\)<\/td>\r\n80<\/td>\r\n\\(80(x)\\)<\/td>\r\n<\/tr>\r\n
    S25<\/sub><\/th>\r\n6<\/td>\r\n25<\/td>\r\n25 (6)<\/td>\r\n<\/tr>\r\n
    S36<\/sub><\/th>\r\n\\(x+6\\)<\/td>\r\n36<\/td>\r\n\\(36(x+6)\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\\(\\begin{array}{rrrrrrr}\r\n80x&+&25(6)&=&36(x&+&6) \\\\\r\n80x&+&150&=&36x&+&216 \\\\\r\n-36x&-&150&&-36x&-&150 \\\\\r\n\\midrule\r\n&&\\dfrac{44x}{44}&=&\\dfrac{66}{44}&& \\\\ \\\\\r\n&&x&=&\\dfrac{3}{2}&\\text{ or }&1.5 \\text{ L}\r\n\\end{array}\\)<\/li>\r\n \t
  11. \r\n\r\n\r\n\r\n\r\n\r\n\r\n
    Name<\/th>\r\nAmount<\/th>\r\nValue<\/th>\r\nEquation<\/th>\r\n<\/tr>\r\n
    C<\/th>\r\n\\(x\\)<\/td>\r\n7.50<\/td>\r\n\\(7.50(x)\\)<\/td>\r\n<\/tr>\r\n
    J<\/th>\r\n24<\/td>\r\n3.25<\/td>\r\n3.25 (24)<\/td>\r\n<\/tr>\r\n
    M<\/th>\r\n\\(x+24\\)<\/td>\r\n4.50<\/td>\r\n\\(4.50(x+24)\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\\(\\begin{array}{rrrrrrr}\r\n7.50x&+&3.25(24)&=&4.50(x&+&24) \\\\\r\n7.50x&+&78&=&4.50x&+&108 \\\\\r\n-4.50x&-&78&&-4.50x&-&78 \\\\\r\n\\midrule\r\n&&\\dfrac{3.00x}{3.00}&=&\\dfrac{30}{3.00}&& \\\\ \\\\\r\n&&x&=&10 \\text{ kg}&&\r\n\\end{array}\\)<\/li>\r\n \t
  12. \r\n\r\n\r\n\r\n\r\n\r\n\r\n
    Name<\/th>\r\nAmount<\/th>\r\nValue<\/th>\r\nEquation<\/th>\r\n<\/tr>\r\n
    S<\/th>\r\n\\(x\\)<\/td>\r\n7.00<\/td>\r\n\\(7.00(x)\\)<\/td>\r\n<\/tr>\r\n
    A<\/th>\r\n20<\/td>\r\n3.50<\/td>\r\n3.50 (20)<\/td>\r\n<\/tr>\r\n
    F<\/th>\r\n\\(x+20\\)<\/td>\r\n4.50<\/td>\r\n\\(4.50(x+20)\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\\(\\begin{array}{rrrrrrr}\r\n7.00(x)&+&3.50(20)&=&4.50(x&+&20) \\\\\r\n7.00x&+&70&=&4.50x&+&90 \\\\\r\n-4.50x&-&70&&-4.50x&-&70 \\\\\r\n\\midrule\r\n&&\\dfrac{2.5x}{2.5}&=&\\dfrac{20}{2.5}&& \\\\ \\\\\r\n&&x&=&8&&\r\n\\end{array}\\)<\/li>\r\n \t
  13. \r\n\r\n\r\n\r\n\r\n\r\n\r\n
    Name<\/th>\r\nAmount<\/th>\r\nValue<\/th>\r\nEquation<\/th>\r\n<\/tr>\r\n
    C1.8<\/sub><\/th>\r\nC1.8<\/sub><\/td>\r\n1.80<\/td>\r\n1.80 (C1.8<\/sub>)<\/td>\r\n<\/tr>\r\n
    C3.0<\/sub><\/th>\r\n15 \u2212 C1.8<\/sub><\/td>\r\n3.00<\/td>\r\n3.00 (15 \u2212 C1.8<\/sub>)<\/td>\r\n<\/tr>\r\n
    C2.2<\/sub><\/th>\r\n15<\/td>\r\n2.20<\/td>\r\n2.20 (15)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\\(\\begin{array}{rrrrrrl}\r\n1.80C_{1.8}&+&3.00(15&-&C_{1.8})&=&2.20(15) \\\\\r\n1.80C_{1.8}&+&45&-&3C_{1.8}&=&\\phantom{-}33 \\\\\r\n&-&45&&&&-45 \\\\\r\n\\midrule\r\n&&&&\\dfrac{-1.2C_{1.8}}{-1.2}&=&\\dfrac{-12}{-1.2} \\\\ \\\\\r\n&&&&C_{1.8}&=&10 \\\\\r\n&&&&C_{3.0}&=&15-10 \\\\\r\n&&&&C_{3.0}&=&5\r\n\\end{array}\\)<\/li>\r\n \t
  14. \r\n\r\n\r\n\r\n\r\n\r\n\r\n
    Name<\/th>\r\nAmount<\/th>\r\nValue<\/th>\r\nEquation<\/th>\r\n<\/tr>\r\n
    M10<\/sub><\/th>\r\n100 \u2212 C<\/td>\r\n0.10<\/td>\r\n0.10 (100 \u2212 C)<\/td>\r\n<\/tr>\r\n
    C<\/th>\r\nC<\/td>\r\n0.60<\/td>\r\n0.60 (C)<\/td>\r\n<\/tr>\r\n
    M45<\/sub><\/th>\r\n100<\/td>\r\n0.45<\/td>\r\n0.45 (100)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\\(\\begin{array}{rrrrrrl}\r\n0.10(100&-&C)&+&0.60(C)&=&0.45(100) \\\\\r\n10&-&0.10C&+&0.60C&=&\\phantom{-}45 \\\\\r\n-10&&&&&&-10 \\\\\r\n\\midrule\r\n&&&&\\dfrac{0.50C}{0.50}&=&\\dfrac{35}{0.50} \\\\ \\\\\r\n&&&&C&=&70 \\\\\r\n&&&&M_{10}&=&100-70 \\\\\r\n&&&&M_{10}&=&30\r\n\\end{array}\\)<\/li>\r\n \t
  15. \r\n\r\n\r\n\r\n\r\n\r\n\r\n
    Name<\/th>\r\nAmount<\/th>\r\nValue<\/th>\r\nEquation<\/th>\r\n<\/tr>\r\n
    A<\/th>\r\nA<\/td>\r\n0.50<\/td>\r\n0.50A<\/td>\r\n<\/tr>\r\n
    B<\/th>\r\n100 cc \u2212 A<\/td>\r\n0.80<\/td>\r\n0.80 (100 \u2212 A)<\/td>\r\n<\/tr>\r\n
    Mix<\/th>\r\n100 cc<\/td>\r\n0.68<\/td>\r\n0.68 (100)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\\(\\begin{array}{rrrrrrl}\r\n0.50A&+&0.80(100&-&A)&=&0.68(100) \\\\\r\n0.50A&+&80&-&0.80A&=&\\phantom{-}68 \\\\\r\n&-&80&&&=&-80 \\\\\r\n\\midrule\r\n&&&&\\dfrac{-0.30A}{-0.30}&=&\\dfrac{-12}{-0.30} \\\\ \\\\\r\n&&&&A&=&40 \\text{ cc} \\\\\r\n&&&&B&=&100-40 \\\\\r\n&&&&B&=&60 \\text{ cc}\r\n\\end{array}\\)<\/li>\r\n \t
  16. \r\n\r\n\r\n\r\n\r\n\r\n\r\n
    Name<\/th>\r\nAmount<\/th>\r\nValue<\/th>\r\nEquation<\/th>\r\n<\/tr>\r\n
    G21<\/sub><\/th>\r\nG21<\/sub><\/td>\r\n0.21<\/td>\r\n0.21 (G21<\/sub>)<\/td>\r\n<\/tr>\r\n
    G15<\/sub><\/th>\r\n600 \u2212 G21<\/sub><\/td>\r\n0.15<\/td>\r\n0.15 (600 \u2212 G21<\/sub>)<\/td>\r\n<\/tr>\r\n
    G19<\/sub><\/th>\r\n600<\/td>\r\n0.19<\/td>\r\n0.19 (600)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\\(\\begin{array}{rrrrrrl}\r\n0.21G_{21}&+&0.15(600&-&G_{21})&=&0.19(600) \\\\\r\n0.21G_{21}&+&90&-&0.15G_{21}&=&114 \\\\\r\n&-&90&&&=&-90 \\\\\r\n\\midrule\r\n&&&&\\dfrac{0.06G_{21}}{0.06}&=&\\dfrac{24}{0.06} \\\\ \\\\\r\n&&&&G_{21}&=&400 \\\\\r\n&&&&G_{15}&=&600-400 \\\\\r\n&&&&G_{15}&=&200\r\n\\end{array}\\)<\/li>\r\n \t
  17. \r\n\r\n\r\n\r\n\r\n\r\n\r\n
    Name<\/th>\r\nAmount<\/th>\r\nValue<\/th>\r\nEquation<\/th>\r\n<\/tr>\r\n
    C40<\/sub><\/th>\r\nC40<\/sub><\/td>\r\n0.40<\/td>\r\n0.40C40<\/sub><\/td>\r\n<\/tr>\r\n
    C30<\/sub><\/th>\r\n80 \u2212 C40<\/sub><\/td>\r\n0.30<\/td>\r\n0.30 (80 \u2212 C40<\/sub>)<\/td>\r\n<\/tr>\r\n
    C32<\/sub><\/th>\r\n80<\/td>\r\n0.32<\/td>\r\n0.32 (80)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\\(\\begin{array}{rrrrrrl}\r\n0.40C_{40}&+&0.30(80&-&C_{40})&=&0.32(80) \\\\\r\n0.40C_{40}&+&24&-&0.30C_{40}&=&\\phantom{-}25.6 \\\\\r\n&-&24&&&=&-24 \\\\\r\n\\midrule\r\n&&&&\\dfrac{0.10C_{40}}{0.10}&=&\\dfrac{1.6}{1.0} \\\\ \\\\\r\n&&&&C_{40}&=&16 \\\\\r\n&&&&C_{30}&=&80-16 \\\\\r\n&&&&C_{30}&=&64\r\n\\end{array}\\)<\/li>\r\n \t
  18. \r\n\r\n\r\n\r\n\r\n\r\n\r\n
    Name<\/th>\r\nAmount<\/th>\r\nValue<\/th>\r\nEquation<\/th>\r\n<\/tr>\r\n
    A<\/th>\r\n3.75<\/td>\r\n0.40<\/td>\r\n0.40 (3.75)<\/td>\r\n<\/tr>\r\n
    F<\/th>\r\n\\(x\\)<\/td>\r\n0<\/td>\r\n0<\/td>\r\n<\/tr>\r\n
    P<\/th>\r\n\\(x+3.75\\)<\/td>\r\n0.06<\/td>\r\n\\(0.06(x+3.75)\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\\(\\begin{array}{rlllr}\r\n0.40(3.75)&=&0.06(x&+&3.75) \\\\\r\n1.5\\phantom{00}&=&0.06x&+&\\phantom{-}0.225 \\\\\r\n-0.225&&&&-0.225 \\\\\r\n\\midrule\r\n\\dfrac{1.275}{0.06}&=&\\dfrac{0.06x}{0.06}&& \\\\ \\\\\r\nx&=&21.25&& \\\\\r\n\\end{array}\\)<\/li>\r\n \t
  19. \r\n\r\n\r\n\r\n\r\n\r\n\r\n
    Name<\/th>\r\nAmount<\/th>\r\nValue<\/th>\r\nEquation<\/th>\r\n<\/tr>\r\n
    A70<\/sub><\/th>\r\n\\(20-x\\)<\/td>\r\n0.70<\/td>\r\n\\(0.70(20-x)\\)<\/td>\r\n<\/tr>\r\n
    W<\/th>\r\n\\(x\\)<\/td>\r\n0<\/td>\r\n0<\/td>\r\n<\/tr>\r\n
    A18<\/sub><\/th>\r\n20<\/td>\r\n0.18<\/td>\r\n0.18 (20)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\\(\\begin{array}{rrcrl}\r\n0.70(20&-&x)&=&0.18(20) \\\\\r\n\\phantom{-}14&-&0.7x&=&\\phantom{-0}3.6 \\\\\r\n-14&&&&-14.0 \\\\\r\n\\midrule\r\n&&\\dfrac{-0.7x}{-0.7}&=&\\dfrac{-10.4}{-0.7} \\\\ \\\\\r\n&&x&=&14.86 \\text{ L of water}\\\\\r\n0.70(20&-&14.86)&=&\\phantom{0}5.14 \\text{ L of } 70\\%\r\n\\end{array}\\)<\/li>\r\n \t
  20. \r\n\r\n\r\n\r\n\r\n\r\n\r\n
    Name<\/th>\r\nAmount<\/th>\r\nValue<\/th>\r\nEquation<\/th>\r\n<\/tr>\r\n
    W<\/th>\r\n\\(x\\)<\/td>\r\n0<\/td>\r\n0<\/td>\r\n<\/tr>\r\n
    A100<\/sub><\/th>\r\n50<\/td>\r\n1.00<\/td>\r\n1.00 (50)<\/td>\r\n<\/tr>\r\n
    A40<\/sub><\/th>\r\n\\(x+50\\)<\/td>\r\n0.40<\/td>\r\n\\(0.40(x+50)\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\\(\\begin{array}{rrlll}\r\n1.00(50)&=&0.40(x&+&50) \\\\\r\n50&=&0.40x&+&20 \\\\\r\n-20&=&&-&20 \\\\\r\n\\midrule\r\n\\dfrac{30}{0.40}&=&\\dfrac{0.40x}{0.40}&& \\\\ \\\\\r\nx&=&75 \\text{ mL}&&\r\n\\end{array}\\)<\/li>\r\n \t
  21. \r\n\r\n\r\n\r\n\r\n\r\n\r\n
    Name<\/th>\r\nAmount<\/th>\r\nValue<\/th>\r\nEquation<\/th>\r\n<\/tr>\r\n
    W<\/th>\r\n\\(x\\)<\/td>\r\n0<\/td>\r\n0<\/td>\r\n<\/tr>\r\n
    S12<\/sub><\/th>\r\n50<\/td>\r\n0.12<\/td>\r\n0.12 (50)<\/td>\r\n<\/tr>\r\n
    S15<\/sub><\/th>\r\n\\(50-x\\)<\/td>\r\n0.15<\/td>\r\n\\(0.15(50-x)\\)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\\(\\begin{array}{rrrrr}\r\n0.12(50)&=&0.15(50&-&x) \\\\\r\n6.0&=&7.5&-&0.15x \\\\\r\n-7.5&&-7.5&& \\\\\r\n\\midrule\r\n\\dfrac{-1.5}{-0.15}&=&\\dfrac{-0.15x}{-0.15}&& \\\\ \\\\\r\nx&=&10 \\text{ L}&&\r\n\\end{array}\\)<\/li>\r\n<\/ol>","rendered":"
      \n
    1. \n\n\n\n\n\n\n
      Name<\/th>\nAmount<\/th>\nValue<\/th>\nEquation<\/th>\n<\/tr>\n
      S40<\/sub><\/th>\n8000<\/td>\n0.40<\/td>\n0.40 (8000)<\/td>\n<\/tr>\n
      W<\/th>\n\"x\"<\/td>\n0<\/td>\n0<\/td>\n<\/tr>\n
      S30<\/sub><\/th>\n\"x+8000\"<\/td>\n0.30<\/td>\n\"0.30(x+8000)\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \"0.40(8000)=0.30(x+8000)\"<\/li>\n

    2. \n\n\n\n\n\n\n
      Name<\/th>\nAmount<\/th>\nValue<\/th>\nEquation<\/th>\n<\/tr>\n
      A100<\/sub><\/th>\n\"x\"<\/td>\n1.00<\/td>\n\"1.00x\"<\/td>\n<\/tr>\n
      A30<\/sub><\/th>\n5<\/td>\n0.30<\/td>\n0.30 (5)<\/td>\n<\/tr>\n
      A50<\/sub><\/th>\n\"x+5\"<\/td>\n0.50<\/td>\n\"0.50(x+5)\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \"1.00x+0.30(5)=0.50(x+5)\"<\/li>\n

    3. \n\n\n\n\n\n\n
      Name<\/th>\nAmount<\/th>\nValue<\/th>\nEquation<\/th>\n<\/tr>\n
      S10<\/sub><\/th>\n12<\/td>\n0.10<\/td>\n0.10 (12)<\/td>\n<\/tr>\n
      S3<\/sub><\/th>\n\"x\"<\/td>\n0.03<\/td>\n\"0.03 (x)\"<\/td>\n<\/tr>\n
      S5<\/sub><\/th>\n\"x+12\"<\/td>\n0.05<\/td>\n\"0.05(x+12)\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \"0.10(12)+0.03(x)=0.05(x+12)\"<\/li>\n

    4. \n\n\n\n\n\n\n
      Name<\/th>\nAmount<\/th>\nValue<\/th>\nEquation<\/th>\n<\/tr>\n
      A100<\/sub><\/th>\n\"x\"<\/td>\n1.00<\/td>\n\"1.00x\"<\/td>\n<\/tr>\n
      A14<\/sub><\/th>\n24<\/td>\n0.14<\/td>\n0.14 (24)<\/td>\n<\/tr>\n
      A20<\/sub><\/th>\n\"x+24\"<\/td>\n0.20<\/td>\n\"0.20(x+24)\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \"1.00x+0.14(24)=0.20(x+24)\"<\/li>\n

    5. \n\n\n\n\n\n\n
      Name<\/th>\nAmount<\/th>\nValue<\/th>\nEquation<\/th>\n<\/tr>\n
      B<\/th>\n\"x\"<\/td>\n1.60<\/td>\n\"1.60x\"<\/td>\n<\/tr>\n
      Mag<\/th>\n18<\/td>\n2.50<\/td>\n2.50 (18)<\/td>\n<\/tr>\n
      Mix<\/th>\n\"x+18\"<\/td>\n1.90<\/td>\n\"1.90(x+18)\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \"1.60x+2.50(18)=1.90(x+18)\"<\/li>\n

    6. \n\n\n\n\n\n\n
      Name<\/th>\nAmount<\/th>\nValue<\/th>\nEquation<\/th>\n<\/tr>\n
      A100<\/sub><\/th>\n\"x\"<\/td>\n1.00<\/td>\n\"1.00x\"<\/td>\n<\/tr>\n
      A20<\/sub><\/th>\n40<\/td>\n0.20<\/td>\n0.20 (40)<\/td>\n<\/tr>\n
      A36<\/sub><\/th>\n\"x+40\"<\/td>\n0.36<\/td>\n\"0.36(x+40)\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \"x+0.20(40)=0.36(x+40)\"<\/li>\n

    7. \n\n\n\n\n\n\n
      Name<\/th>\nAmount<\/th>\nValue<\/th>\nEquation<\/th>\n<\/tr>\n
      O40<\/sub><\/th>\n100<\/td>\n0.40<\/td>\n100 (0.40)<\/td>\n<\/tr>\n
      O100<\/sub><\/th>\n\"x\"<\/td>\n1.00<\/td>\n\"x(1.00)\"<\/td>\n<\/tr>\n
      O50<\/sub><\/th>\n\"100+x\"<\/td>\n0.50<\/td>\n\"(100+x)(0.50)\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \"100(0.40)+x=(100+x)(0.50)\"<\/li>\n

    8. \n\n\n\n\n\n\n
      Name<\/th>\nAmount<\/th>\nValue<\/th>\nEquation<\/th>\n<\/tr>\n
      P220<\/sub><\/th>\n20<\/td>\n220<\/td>\n220 (20)<\/td>\n<\/tr>\n
      P400<\/sub><\/th>\n\"x\"<\/td>\n400<\/td>\n\"400(x)\"<\/td>\n<\/tr>\n
      P300<\/sub><\/th>\n\"x+20\"<\/td>\n300<\/td>\n\"300(x+20)\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \"220(20)+400x=300(x+20)\"<\/li>\n

    9. \n\n\n\n\n\n\n
      Name<\/th>\nAmount<\/th>\nValue<\/th>\nEquation<\/th>\n<\/tr>\n
      T4.20<\/sub><\/th>\n\"x\"<\/td>\n4.20<\/td>\n\"4.20(x)\"<\/td>\n<\/tr>\n
      T2.25<\/sub><\/th>\n12<\/td>\n2.25<\/td>\n2.25 (12)<\/td>\n<\/tr>\n
      T3.40<\/sub><\/th>\n\"x+12\"<\/td>\n3.40<\/td>\n\"3.40(x+12)\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \"4.20x+2.25(12)=3.40(x+12)\"<\/li>\n

    10. \n\n\n\n\n\n\n
      Name<\/th>\nAmount<\/th>\nValue<\/th>\nEquation<\/th>\n<\/tr>\n
      S80<\/sub><\/th>\n\"x\"<\/td>\n80<\/td>\n\"80(x)\"<\/td>\n<\/tr>\n
      S25<\/sub><\/th>\n6<\/td>\n25<\/td>\n25 (6)<\/td>\n<\/tr>\n
      S36<\/sub><\/th>\n\"x+6\"<\/td>\n36<\/td>\n\"36(x+6)\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \"\begin{array}{rrrrrrr}<\/li>\n

    11. \n\n\n\n\n\n\n
      Name<\/th>\nAmount<\/th>\nValue<\/th>\nEquation<\/th>\n<\/tr>\n
      C<\/th>\n\"x\"<\/td>\n7.50<\/td>\n\"7.50(x)\"<\/td>\n<\/tr>\n
      J<\/th>\n24<\/td>\n3.25<\/td>\n3.25 (24)<\/td>\n<\/tr>\n
      M<\/th>\n\"x+24\"<\/td>\n4.50<\/td>\n\"4.50(x+24)\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \"\begin{array}{rrrrrrr}<\/li>\n

    12. \n\n\n\n\n\n\n
      Name<\/th>\nAmount<\/th>\nValue<\/th>\nEquation<\/th>\n<\/tr>\n
      S<\/th>\n\"x\"<\/td>\n7.00<\/td>\n\"7.00(x)\"<\/td>\n<\/tr>\n
      A<\/th>\n20<\/td>\n3.50<\/td>\n3.50 (20)<\/td>\n<\/tr>\n
      F<\/th>\n\"x+20\"<\/td>\n4.50<\/td>\n\"4.50(x+20)\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \"\begin{array}{rrrrrrr}<\/li>\n

    13. \n\n\n\n\n\n\n
      Name<\/th>\nAmount<\/th>\nValue<\/th>\nEquation<\/th>\n<\/tr>\n
      C1.8<\/sub><\/th>\nC1.8<\/sub><\/td>\n1.80<\/td>\n1.80 (C1.8<\/sub>)<\/td>\n<\/tr>\n
      C3.0<\/sub><\/th>\n15 \u2212 C1.8<\/sub><\/td>\n3.00<\/td>\n3.00 (15 \u2212 C1.8<\/sub>)<\/td>\n<\/tr>\n
      C2.2<\/sub><\/th>\n15<\/td>\n2.20<\/td>\n2.20 (15)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \"\begin{array}{rrrrrrl}<\/li>\n

    14. \n\n\n\n\n\n\n
      Name<\/th>\nAmount<\/th>\nValue<\/th>\nEquation<\/th>\n<\/tr>\n
      M10<\/sub><\/th>\n100 \u2212 C<\/td>\n0.10<\/td>\n0.10 (100 \u2212 C)<\/td>\n<\/tr>\n
      C<\/th>\nC<\/td>\n0.60<\/td>\n0.60 (C)<\/td>\n<\/tr>\n
      M45<\/sub><\/th>\n100<\/td>\n0.45<\/td>\n0.45 (100)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \"\begin{array}{rrrrrrl}<\/li>\n

    15. \n\n\n\n\n\n\n
      Name<\/th>\nAmount<\/th>\nValue<\/th>\nEquation<\/th>\n<\/tr>\n
      A<\/th>\nA<\/td>\n0.50<\/td>\n0.50A<\/td>\n<\/tr>\n
      B<\/th>\n100 cc \u2212 A<\/td>\n0.80<\/td>\n0.80 (100 \u2212 A)<\/td>\n<\/tr>\n
      Mix<\/th>\n100 cc<\/td>\n0.68<\/td>\n0.68 (100)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \"\begin{array}{rrrrrrl}<\/li>\n

    16. \n\n\n\n\n\n\n
      Name<\/th>\nAmount<\/th>\nValue<\/th>\nEquation<\/th>\n<\/tr>\n
      G21<\/sub><\/th>\nG21<\/sub><\/td>\n0.21<\/td>\n0.21 (G21<\/sub>)<\/td>\n<\/tr>\n
      G15<\/sub><\/th>\n600 \u2212 G21<\/sub><\/td>\n0.15<\/td>\n0.15 (600 \u2212 G21<\/sub>)<\/td>\n<\/tr>\n
      G19<\/sub><\/th>\n600<\/td>\n0.19<\/td>\n0.19 (600)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \"\begin{array}{rrrrrrl}<\/li>\n

    17. \n\n\n\n\n\n\n
      Name<\/th>\nAmount<\/th>\nValue<\/th>\nEquation<\/th>\n<\/tr>\n
      C40<\/sub><\/th>\nC40<\/sub><\/td>\n0.40<\/td>\n0.40C40<\/sub><\/td>\n<\/tr>\n
      C30<\/sub><\/th>\n80 \u2212 C40<\/sub><\/td>\n0.30<\/td>\n0.30 (80 \u2212 C40<\/sub>)<\/td>\n<\/tr>\n
      C32<\/sub><\/th>\n80<\/td>\n0.32<\/td>\n0.32 (80)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \"\begin{array}{rrrrrrl}<\/li>\n

    18. \n\n\n\n\n\n\n
      Name<\/th>\nAmount<\/th>\nValue<\/th>\nEquation<\/th>\n<\/tr>\n
      A<\/th>\n3.75<\/td>\n0.40<\/td>\n0.40 (3.75)<\/td>\n<\/tr>\n
      F<\/th>\n\"x\"<\/td>\n0<\/td>\n0<\/td>\n<\/tr>\n
      P<\/th>\n\"x+3.75\"<\/td>\n0.06<\/td>\n\"0.06(x+3.75)\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \"\begin{array}{rlllr}<\/li>\n

    19. \n\n\n\n\n\n\n
      Name<\/th>\nAmount<\/th>\nValue<\/th>\nEquation<\/th>\n<\/tr>\n
      A70<\/sub><\/th>\n\"20-x\"<\/td>\n0.70<\/td>\n\"0.70(20-x)\"<\/td>\n<\/tr>\n
      W<\/th>\n\"x\"<\/td>\n0<\/td>\n0<\/td>\n<\/tr>\n
      A18<\/sub><\/th>\n20<\/td>\n0.18<\/td>\n0.18 (20)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \"\begin{array}{rrcrl}<\/li>\n

    20. \n\n\n\n\n\n\n
      Name<\/th>\nAmount<\/th>\nValue<\/th>\nEquation<\/th>\n<\/tr>\n
      W<\/th>\n\"x\"<\/td>\n0<\/td>\n0<\/td>\n<\/tr>\n
      A100<\/sub><\/th>\n50<\/td>\n1.00<\/td>\n1.00 (50)<\/td>\n<\/tr>\n
      A40<\/sub><\/th>\n\"x+50\"<\/td>\n0.40<\/td>\n\"0.40(x+50)\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \"\begin{array}{rrlll}<\/li>\n

    21. \n\n\n\n\n\n\n
      Name<\/th>\nAmount<\/th>\nValue<\/th>\nEquation<\/th>\n<\/tr>\n
      W<\/th>\n\"x\"<\/td>\n0<\/td>\n0<\/td>\n<\/tr>\n
      S12<\/sub><\/th>\n50<\/td>\n0.12<\/td>\n0.12 (50)<\/td>\n<\/tr>\n
      S15<\/sub><\/th>\n\"50-x\"<\/td>\n0.15<\/td>\n\"0.15(50-x)\"<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      \"\begin{array}{rrrrr}<\/li>\n<\/ol>\n","protected":false},"author":727,"menu_order":51,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"back-matter-type":[],"contributor":[],"license":[],"class_list":["post-1469","back-matter","type-back-matter","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1469","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/types\/back-matter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/users\/727"}],"version-history":[{"count":4,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1469\/revisions"}],"predecessor-version":[{"id":2901,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1469\/revisions\/2901"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter\/1469\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=1469"}],"wp:term":[{"taxonomy":"back-matter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/back-matter-type?post=1469"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=1469"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=1469"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}